Butler theory over Murley groups

DOI10.1006/jabr.1997.7211zbMath0898.20033OpenAlexW2051387689MaRDI QIDQ1383948

H. Pat Goeters, Ulrich F. Albrecht

Publication date: 3 November 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7211

zbMATH Keywords

typesindecomposable groupsfully invariant subgroupstorsion-free Abelian groups of finite rankButler modulesfinite direct sums of groupsindecomposable irreducible Murley groups

Mathematics Subject Classification ID

Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (4)

A class of torsion-free abelian groups characterized by the ranks of their socles ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ Murley groups and the torsion-freeness of Ext. ⋮ Murley Groups and the Torsion-Freeness of Ext

Cites Work

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• Endomorphism rings of faithfully flat Abelian groups
• Global Azumaya theorems in additive categories
• Finite rank torsion free Abelian groups and rings
• Endomorphism rings and subgroups of finite rank torsion-free Abelian groups
• An extension of Warfield duality for abelian groups
• Homomorphisms and duality for torsion-free groups
• The classification of certain classes of torsion free Abelian groups
• Endomorphism rings and a generalization of torsion-freeness and purity
• On Direct Summands of A-Separable R-Modules
• On -separable abelian groups
• Baer's Lemma and Fuchs' Problem 84a
• Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank

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